A characterization of semilinear dense range operators and applications

H Leiva, N Merentes, J Sanchez - Abstract and Applied …, 2013 - Wiley Online Library
We characterize a broad class of semilinear dense range operators GH: W→ Z given by the
following formula, GHw= Gw+ H (w), w∈ W, where Z, W are Hilbert spaces, G∈ L (W, Z) …

[PDF][PDF] Approximate controllability of semilinear reaction diffusion equations

H Leiva, N Merentes, JL Sánchez - Mathematical Control and …, 2012 - researchgate.net
APPROXIMATE CONTROLLABILITY OF SEMILINEAR REACTION DIFFUSION
EQUATIONS Hugo Leiva Nelson Merentes and José L. Sánchez (Communi Page 1 …

Approximate controllability of a semilinear heat equation

H Leiva, N Merentes, J Sanchez - International Journal of …, 2013 - Wiley Online Library
We apply Rothe's type fixed point theorem to prove the interior approximate controllability of
the following semilinear heat equation: zt (t, x)= Δz (t, x)+ 1ωu (t, x)+ f (t, z (t, x), u (t, x)) in (0 …

Interior controllability of a broad class of reaction diffusion equations

H Leiva, Y Quintana - Mathematical Problems in Engineering, 2009 - Wiley Online Library
We prove the interior approximate controllability of the following broad class of reaction
diffusion equation in the Hilbert spaces Z= L2 (Ω) given by z′=− Az+ 1ωu (t), t∈[0, τ], where …

Interior Controllability of the Semilinear Heat Equation

H Leiva, N Merentes, JL Sanchez - 2011 - projecteuclid.org
In this paper we prove the interior approximate controllability of the following Semilinear
Heat Equation\left {z_ t (t, x)= Δ z (t, x)+ 1_ ω u (t, x)+ f (t, z, u (t, x)) & in\quad (0, τ * Ω,\z= 0 …

Skew-product semi-flows and non-autonomous control systems

D Barcenas, SN Chow, H Leiva, AT Moya - Journal of mathematical …, 2011 - Elsevier
In this paper we give a necessary and sufficient conditions for exact and approximate
controllability of a wide class of linear infinite-dimensional non-autonomous control systems …

[PDF][PDF] Approximate controllability of semilinear cascade systems in H= L2 (Ω)

H Leiva - International Mathematical Forum, 2012 - researchgate.net
Approximate Controllability of Semilinear Cascade Systems in H = L2(Ω) Page 1 International
Mathematical Forum, Vol. 7, 2012, no. 57, 2797 - 2813 Approximate Controllability of …

[PDF][PDF] Interior controllability of a broad class of second order equations in L2 (Ω)

H LEIVA - 2008 - Citeseer
INTERIOR CONTROLLABILITY OF A BROAD CLASS OF SECOND ORDER EQUATIONS IN
L2(Ω) Abstract In this paper we present a simple proof Page 1 INTERIOR CONTROLLABILITY …

[PDF][PDF] Research Article Interior Controllability of a Broad Class of Reaction Diffusion Equations

H Leiva, Y Quintana - academia.edu
Research Article Interior Controllability of a Broad Class of Reaction Diffusion Equations Page 1
Hindawi Publishing Corporation Mathematical Problems in Engineering Volume 2009, Article ID …

[PDF][PDF] Research Article A Characterization of Semilinear Dense Range Operators and Applications

H Leiva, N Merentes, J Sanchez - 2013 - academia.edu
It is well known from functional analysis that continuous linear surjective operators form an
open set in the space of such operators; that is to say, if a surjective linear continuous …